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Slope may still be expressed when the horizontal run is not known: the rise can be divided by the hypotenuse (the slope length). This is not the usual way to specify slope; this nonstandard expression follows the sine function rather than the tangent function, so it calls a 45 degree slope a 71 percent grade instead of a 100 percent. But in ...
In trigonometry, the gradian – also known as the gon (from Ancient Greek γωνία (gōnía) 'angle'), grad, or grade [1] – is a unit of measurement of an angle, defined as one-hundredth of the right angle; in other words, 100 gradians is equal to 90 degrees.
Slope illustrated for y = (3/2)x − 1.Click on to enlarge Slope of a line in coordinates system, from f(x) = −12x + 2 to f(x) = 12x + 2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, [5] and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
1 in 15.4 (6.5%) Incline from the Causeway Street Tunnel up to the Lechmere Viaduct on the Green Line (MBTA), Boston, Massachusetts, United States [15] This incline is commonly believed to be the "steepest grade of tracks in the T system." [16] 1 in 15.9 (6.3%) Alishan Forest Railway, Taiwan: 1 in 16.4 (6.1%) Hunsrückbahn, Germany: Built as a ...
Buffalo, New York and Montreal, Quebec, Canada, specify 6 in 12, a pitch of approximately 26.6 degrees. [3] A flat roof includes pitches as low as 1 ⁄ 2:12 to 2:12 (1 in 24 to 1 in 6), which are barely capable of properly shedding water. Such low-slope roofs (up to 4:12 (1 in 3)) require special materials and techniques to avoid leaks. [4]
The world average river reach slope is 2.6 m/km or 0.26%; [2] a slope smaller than 1% and greater than 4% is considered gentle and steep, respectively. [3] Stream gradient may change along the stream course. An average gradient can be defined, known as the relief ratio, which gives the average drop in elevation per unit length of river. [4]
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90-foot (27.43 m) radii on the elevated 4 ft 8 + 1 ⁄ 2 in (1,435 mm) standard gauge Chicago 'L'. There is no room for longer radii at this cross junction in the northwest corner of the Loop . The minimum railway curve radius is the shortest allowable design radius for the centerline of railway tracks under a particular set of conditions.